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Finding the Fourth Proportional to 707.50, 1,061.52 and 274.69

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Solution

The fourth proportional to 707.50, 1,061.52 and 274.69 is: 412.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.50 : 1,061.52 = 274.69 : x
  2. Step 2: Convert to fraction form
    707.50/1,061.52 = 274.69/x
  3. Step 3: Cross multiply
    707.50x = 1,061.52 × 274.69
  4. Step 4: Simplify right side
    707.50x = 291,588.93
  5. Step 5: Solve for x
    x = 291,588.93/707.50
  6. Step 6: Final answer
    x = 412.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.